Which expression is equivalent to this polynomial expression? (5xy^2 + 3x^2 – 7) + (3x^2y^2 – xy^2 + 3y^2 + 4) A. 3.x^2y^2 + 4xy^2 + 3x^2 + 3y^2 – 3 B. 9x^2y^2 + 4xy^2 – 3 C. 3x^2y^2 + 6xy^2 + 6x^2 + 3 D. 8x^2y^2 + 2xy^2 - 4y^2 + 4

Option B. When we have negative four and one sixth times negative three and fifteen hundredths, the product is thirteen and one eighth.

We can rewrite  negative four and one sixth times negative three and fifteen hundredths as

\(-4\frac{1}{6} *-3\frac{15}{100}\)

We have to solve this as an improper fraction

-25/6 * -63/20

1575/120

= 13 * 1/8

Hence we can conclude that when we have negative four and one sixth times negative three and fifteen hundredths, the product is thirteen and one eighth.

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Answer: The radius of the circle is 5 3/8 inches.

Step-by-step explanation:

The radius of the circle is half of the diameter. We can start by converting the mixed number diameter to an improper fraction:

10 3/4 = (10 × 4 + 3)/4 = 43/4

So, the diameter of the circle is 43/4 inches. The radius is half of this, which we can find by dividing by 2:

r = (43/4) ÷ 2 = 43/8

To simplify the fraction, we can divide the numerator and denominator by their greatest common factor (GCF), which is 1:

r = 43/8 = 5 3/8

Therefore, the radius of the circle is 5 3/8 inches.

Answer:5 3/4

Step-by-step explanation:

10 3/4 * 1/2

1/2 * 43/4 = 43/8

8/43=5 3/4

The value of e can be calculated by  e = A - f/2.

Usually, simplification involves proceeding with the pending operations in the expression.

For example, 5 + 2 is an expression whose simplified form can be obtained by doing the pending addition, which results in 7 as its simplified form.

Simplification usually involves making the expression simple and easy to use later.

We have been given an expression as;

A =e+f/2

We need to find the solution for 'e'.

So,

A = e+f/2

Subtract from f/2 on each side, we get;

A - f/2 = e

Thus, e = A - f/2

Therefore, the value of e can be calculated by  e = A - f/2.

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The effect on the graph for the given function if the slope of the function is changed to -10 include the following: D. the line is less steep.

The effect on the graph for the given function if the y-intercept of the function is changed to a smaller positive number is: C. the line shifts down.

In Mathematics, a slope is sometimes referred to as rate of change and it is typically used to describe both the direction, ratio, and steepness of the function of a straight line based on its coordinates or points.

Generally speaking, a slope simply refers to a measure of the steepness of a straight line. This ultimately implies that, the higher the slope of a line, the more steep it is and vice-versa.

Based on the information provided about this function y = 8 - 2x, we can logically deduce that the line would be shifted downward when its y-intercept is changed to a smaller positive number.

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Answer:

-1

Step-by-step explanation:

The line perpendicular would have a slope that is the reciprocal times -1 of the current slope

The current slope is 1

The reciprocal of 1 is 1

1 * -1 is -1

So y = -x and the slope is -1

Answer:

It's -1x

Step-by-step explanation:

Answer:

Vigil for an hour and two

Answer:

480, 484, and 1452

Step-by-step explanation:

To find the next three numbers to the sequence, we would first have to find the pattern between all of the numbers. Lets look at the first two numbers. 12 is 4 multiplied by 3. 12 is also 4 added with 8. Lets see if any of these work for the other sets of numbers:

4 × 3 = 12   Good

4 + 8 = 12   Good

12 × 3 ≠ 16

12 + 8 ≠ 16

16 × 3 = 48   Good

16 + 8 ≠ 48

48 × 3 ≠ 52

48 + 8 ≠ 52

52 × 3 = 156   Good

52 + 8 ≠ 156

156 × 3 ≠ 160

156 + 8 ≠ 160

So from what we can see, only the multiply by 3 pattern works more than once, but it seems to only work every other pair of numbers. The pattern may be alternating, so lets try to find the pattern between the other pairs of numbers that the multiply by 3 pattern does not work for.

12 and 16

48 and 52

156 and 160

You should be able to see here that the pattern for these pairs of numbers is adding 4. So the pattern for the entire set of numbers alternates between multiply by 3 and add 4. Knowing this, we can find the next three numbers

So right before the first missing number there was an add 4. So this time we must multiply by 3 to find the first missing number.

160 × 3 = 480

So the first missing number is 480. Now we add 4 to find the next missing number.

140 + 4 = 484

So the second missing number is 484. Now to find the final missing number, we multiply by 3 again.

484 × 3 = 1452

So the third missing number is 1452.

The three missing numbers are 480, 484, and 1452.

I hope you find my answer and explanation to be helpful. Happy studying.

Answer:

21°

Step-by-step explanation:

In an sosceles trapezoid, the lower base and upper base angles are congurent

⇒ ∠HGF = ∠EFG

⇒ 9y + 3 = 8y + 5

⇒ 9y - 8y = 5 - 3

⇒ y = 2

⇒ ∠HGF = 9(2) + 3

= 18 + 3

= 21

The measure of angle HGF in the given isosceles trapezoid EFGH is calculated to be 21 degrees.

This problem deals with the properties of an isosceles trapezoid, which is a type of quadrilateral. In an isosceles trapezoid, opposite angles are equal. In this case, angle EFG and angle HGF would be equal to each other given the shape is an isosceles trapezoid. So, their measures should be equal.

Here, the measure of angle HGF is given as (9y + 3)°, and the measure of angle EFG is (8y + 5)°. Setting these equal to each other to find the value of y, we get 9y + 3 = 8y + 5. By simplifying, we get the value of y is 2. Substituting the found value of y in angle HGF we get, 9*2+3 = 21 degrees.

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Answer:

you can make 12 cans of them

Answer:

(9,16)

Step-by-step explanation:

We Know

The equation y = 3x - 2

Find the y coordinate (9, ?)

We just simply put 9 in for x and solve for y

y = 3(9) - 2

y = 18 - 2

y = 16

So, the coordinate are (9,16)

Answer:

explanation:A system of linear equations usually has a single solution, but sometimes it can have no solution (parallel lines) or infinite solutions (same line).

Answer:

List A: 2√2, 3√2, 4√2, …

List B: 2π, 3π, 4π, …

List C: 2log35, 3log35, 4log35, …

Step-by-step explanation:

Answer:

484 students

Step-by-step explanation:

This is simple probability. Assuming 22/80 students walk to school within a small population, and there are 1760 students at the school, there should be (22/80)*1760 students that walk to school in total. (This is just theoretical). This is 484 students.

The number of students who usually walk to school will be 484 students.

A ratio is a collection of ordered integers a and b represented as a/b, with b never equaling zero. A proportionate expression is one in which two items are equal.

Alexis surveys a random sample of 80 students at his school and finds that 22 of them usually walk to school.

Then the number of students who usually walk to school will be

⇒ 22 / 80

⇒ 11 / 40

We know that the ratio will remain the same.

There are 1,760 students at the school.

Let x be the number of students who usually walk to school.

Then the number of students who usually walk to school will be

x / 1760 = 11 / 40

x = 484 students

Thus, the number of students who usually walk to school will be 484 students.

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Answer:

2..not sure

Step-by-step explanation:

The comparisons that are true are 11. -5 < 0 12. 9 > -8 14. 55 > -75 15. -32 < -24 16. 89 > 73 17. -58 < -51  19. 17 < 23  20. 18 > -36 and that is not true are 13. -7 = -7 (not true) 18. -32 > 4 (not true)

To make each statement true, write < or >. We need to compare two values for each statement to determine whether it is true or false.

To indicate that the first value is less than the second value, write <.

Alternatively, to indicate that the first value is greater than the second value, write >.

Below are the comparisons: 11. -5 < 0 12. 9 > -8 13. -7 > -7 14. 55 > -75 15. -32 < -24 16. 89 > 73 17. -58 < -51 18. -32 > 4 19. 17 > 23 20. 18 > -36

To determine the direction of inequality, we need to compare the values.

We used inequality signs such as > (greater than) or < (less than) to indicate which value is larger or smaller than the other.

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The correct question would be as

Write > or < to make each statement true.

11. -5 0

12. 9 -8

13. -7 7

14. 55 -75

15. -32 -24

16. 89 73

17. -58 -51

18. -32 4

19. 17 23

20. 18 -36​

For the given mathematical statements:

For L:  n represents jerry's run time.

For M: n represents  the age of his father.

For N: n represents amount her sister has.

For O: n represents age of his younger brother.

To write the variables n represents each expression,

Take the following steps:

→ Identify the variable in each expression.

→ Determine what the variable represents by looking at the context of the problem and the information provided in the expression.

→ Write down the meaning of the variable for each expression.

Therefore,

L. Lisa can run the 100-yard dash 5 seconds faster than Jerry. Lisa's time is n-5 seconds.

Here,

n represents jerry's run time.

M:  Pedro is 3 times younger than his father. Pedro is n + 3 years old.

Here,

n represents  the age of his father,

N: Lucia has $10.00 less than her sister. Lucia has n-10 dollars.

Here,

n represents amount her sister has.

O: Jack is 2 times taller than his younger brother. Jack is 2 x n inches tall.

Here,

n represents age of his younger brother.

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see this attachment

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When h = 4, j = 5, and k = -1, the expression jkh + hj - jk equals 5.

To solve the expression we have to substitute the value of each variable in the expression. Then simplify the expression according to mathematic rule. After solving we get the solution of the expression.

An expression is a combination of numbers, variables, and/or operations that can be evaluated or simplified to obtain a numerical or algebraic result.

The given expression is:

jkh + hj - jk

Substituting the given values of h, j, and k, we get:

jkh + hj - jk = (5 x (-1) x 4) + (5 x 4) - (5 x (-1))

Now simplify the expression

jkh + hj - jk = (-20) + 20 + 5

jkh + hj - jk = 5

Therefore, the value of  jkh + hj - jk equals 5.

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Answer

\(f(t) = 91000 *1.0376^t\)

Explanation

Given

\(a = 91000\) -- initial

\(r = 3.76\%\)

Required

The exponential equation

The exponential equation is:

\(y =ab^t\)

Where

\(b=1 +r\)

We used minus, because the rate increases..

So, we have:

\(b=1 +3.76\%\)

\(b=1 +0.0376\)

\(b=1.0376\)

So:

\(y =ab^t\)

\(y = 91000 *1.0376^t\)

Hence:

\(f(t) = 91000 *1.0376^t\)

The average change as a simplified mixed number would be,

⇒ 1 3/4

A fraction is a part of whole number, and a way to split up a number into equal parts. Or, A number which is expressed as a quotient is called fraction. It can be written as the form of p : q, which is equivalent to p / q.

We have to given that;

The running back for the Bulldogs football team carried the ball 7 times for a total loss of 12 1/4 yards.

Now, The average change as a simplified mixed number would be,

⇒ (12 1/4) / 7

⇒ (49/4) / 7

⇒ (49 / 4×7)

⇒ 7/4

⇒ 1 3/4

Therefore, The average change is,

⇒ 1 3/4

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The perimeter of the given window is 48 centimeter.

From the given figure,

Perimeter of window = 2(Length+Breadth)

= 2(10+14)

= 2×24

= 48 centimeter

Perimeter of house = 2(Length+Breadth)

= 2(37+35)

= 2×72

= 144 centimeter

Perimeter of roof = 2(Length+Breadth)

= 2(37+5)

= 2×42

= 84 centimeter

Therefore, the perimeter of the given window is 48 centimeter.

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So on solving the provided question, we can say that by unitary method saving = 25 - 7.3333333336 = $17.6666666664

The unit technique is an approach to problem-solving that involves first determining the value of a single unit, then multiplying that value to determine the required value. The unit method, to put it simply, is used to extract a single unit value from a supplied multiple. For instance, 40 pens would cost 400 rupees, or the price of one pen. The process for doing this may be standardized. a single country. anything that has an identity element. (mathematics, algebra) (Linear algebra, mathematical analysis, mathematics of matrices or operators) Its adjoint and reciprocal are equivalent.

by unitary method,

12 pack of can, costs = $2

cost of 3 12 pack can - $2 *3 = $6

12 pack can = 12 days

1 can = $2/12 = $0.1666666667

8 can = $0.1666666667*8 = $1.3333333336

original cost of 1 can = $1.25

ordinal cost of 20 cans = $1.25*20 = 25

sale cost of 20 cans = $1.3333333336 +  $6 = 7.3333333336

saving = 25 - 7.3333333336 = $17.6666666664

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The solution is Option A.

The exponential growth model for the number of bacteria in the sample after x hours is    \(P ( x ) = 200 e ^{(\frac{ln 4}{8})x }\)

What is exponential growth factor?

The exponential growth or decay formula is given by

x ( t ) = x₀ × ( 1 + r )ⁿ

x ( t ) is the value at time t

x₀ is the initial value at time t = 0.

r is the growth rate when r>0 or decay rate when r<0, in percent

t is the time in discrete intervals and selected time units

Given data ,

Let the equation for the number of bacteria in the sample after x hours = P

The value of the equation P ( x ) is given by

After 4 hours , the sample contained 400 bacteria

So ,

when x = 4

\(P ( 4 ) = ae ^{4b }=400\)   be equation (1)

After 12 hours , the sample contained 1600 bacteria

And , when x = 12

\(P ( 12 ) = ae ^{12b }=1600\)   be equation (2)

Divide equation (2) by equation (1) , we get

\(\frac{P ( 12 )}{P ( 4 )} = \frac{ae ^{12b }}{ae ^{4b }} = \frac{1600}{400}\)

On simplifying the equation , we get

e¹²ᵇ⁻⁴ᵇ = 4

e⁸ᵇ = 4

Taking logarithm on both sides of the equation , we get

8b = ln (4)

Divide by 8 on both sides , we get

b = ln (4) / 8

Substituting the value for b in equation (1) , we get

\(ae ^{4*ln (4) / 8 }=400\)

\(ae ^{ln (4) / 2}=400\)

On simplifying the equation , we get

a x 2 = 400

Divide by 2 on both sides of the equation , we get

a = 200

Therefore , the exponential growth equation is given by

Substitute the values of a and b in the equation , we get

\(P ( x ) = 200 e ^{(\frac{ln 4}{8})x }\)

Hence , The exponential growth model for the number of bacteria in the sample after x hours is    \(P ( x ) = 200 e ^{(\frac{ln 4}{8})x }\)

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Answer:

i believe the answer is -1/7

Step-by-step explanation:

Answer:

To guarantee that the two pieces you've already taken out connect, you'll need to take out at least four additional pieces. This is because the two pieces you've already taken out will each need to connect to two other pieces, so you'll need four pieces to make two connections. It's possible that fewer pieces might be required, but this is the minimum number of pieces that you need to guarantee the connection.

Answer:

Step-by-step explanation:

its 10.7

1x1 *why is that ok  ut number

(a) Volume of the cylinder is 153 cm³

(b) Volume of the cone is 51 cm³

(c) Volume of the cone = 1/3 × Volume of the cylinder

From the question, we are to determine the volume of the cylinder and the volume of the cone

The volume of a cylinder can be calculated by using the formula,

V = πr²h

Where V is the volume

r is the radius

and h is the height

From the given information,

A = πr² = 17 cm²

A is the area of the base

h = 9 cm

Thus,

V = 17 cm² × 9 cm

V = 153 cm³

Therefore,

Volume of the cylinder is 153 cm³

(b)

For the volume of the cone

V = 1/3 πr²h

Substitute the given parameters

V = 1/3 × 17 cm² × 9 cm

V = 17 cm² × 3 cm

V = 51 cm³

Hence,

Volume of the cone is 51 cm³

(c)

Volume of the cone = 1/3 × Volume of the cylinder

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It should be noted that the expression that can be used to identify the x-values for which f(x)>-2 will be -2 <= x <= 2. This is illustrated in the graph.

It should be noted that a graph is a diagram that is used to show the relationship that exists between the data presented or the information.

In this case, ut should be noted that the expression that can be used to identify the x-values for which f(x)>-2 will be -2 <= x <= 2. This is illustrated in the graph.

The graph is attached below.

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f(x) = 2(3) + 4 (option B)

function: f(x) = 2x + 4

f(3) = ?

To get the value of f(3), we would replace x with 3 in the function

Replacing x;

f(x) = 2(3) + 4

Going through the options, the correct one is option B